Stability of Lotka-Volterra system

DOI10.1007/S10958-009-9554-4zbMath1189.34148OpenAlexW2017574751MaRDI QIDQ844447

Ahmed A. Soliman

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9554-4

zbMATH Keywords

Uniform stabilityImmune systemLotka Volterra systemLyapunov-Razumikhin and Krasovskii method

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20)

Cites Work

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• The criteria for globally stable equilibrium in \(n\)-dimensional Lotka-Volterra systems
• Stability criteria for the linear system [Xdot(t) + A(t)X(t—τ) = 0 and an application to a non-linear system]
• On $\omega $-Limits for Competition Between Three Species
• Nonlinear Aspects of Competition Between Three Species
• Forced Asymptotically Periodic Solutions of Predator-Prey Systems with or without Hereditary Effects
• Probability of Extinction in a Stochastic Competition
• Local stability and Lyapunov functionals for \(n\)-dimensional quasipolynomial conservative systems

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